Corin measures the apparent height of a tower 800 feet away by holding a ruler in front
of her eye and observing that the tower appears to be 9 inches tall. The apparent height h
(in inches) varies inversely with Corin's distance d (in feet) from the tower. Write an
equation that gives d as a function of h. How tall would the apparent height of the tower
be if she was standing 2000 feet away from the tower? Show your work.

The prices of the drum that will reach over $6500 are between $3 and $8

And the inequality expression is (50 + 4x) (120 - 5x) > 6500

From the question, we have the following parameters that can be used in our computation:

Number of models = 50

Initial price = $120

Also from the question, we have:

So, we have

Models = 50 + 4x

Price = 120 - 5x

This means that the revenue function is

R(x) = (50 + 4x) *  (120 - 5x)

When the price reaches over $6500, we have

(50 + 4x) *  (120 - 5x) > 6500

Using a graphing calculator, we have

2.911 <x < 8.5

Approximate

3 ≤ x ≤ 8

Hence, the model reaches $6500 between 3 and 8

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Answer:

John: 19

Jack: 9

Step-by-step explanation:

Answer:

Jack = 9

John = 19

Step-by-step explanation:

Let  the  number  that  Jack  solved  =  N

Then John solved  2N +  1

So

N  + 2N +  1  =   28

3N   =  28  -  1

3N  =   27

N =  27  / 3    =  9   =   number Jack solved

2(9) + 1   =  19  =  number John solved

Answer:

thanks i appreciate it                                                                        

Answer:

Thank you Do you Have a question Or?

Answer:

it is b because I did the problem yes it is b

Answer: 0.336

Step-by-step explanation:

n=7

r=2,1,0

p=44%=0.44

q=1-0.44=0.56

7C2(0.44)^2(0.55)^5 +

7C1(0.44)^1(0.56)^6 +

7C0(0.44)^0(0.56)^7

Evaluate:

0.2239055109+

0.0949902167 +

0.0172709485

Sum: 0.33617= 0.336

Answer:

Step-by-step explanation:

8 over 2

Answer:

Exact Form:

7 √ 53 /53

Decimal Form:

0.96152394

Step-by-step explanation:

Answer:

c) 29

Step-by-step explanation:

a and c are given as 18 and 11, respectively.

[tex]a + c\\= 18 + 11\\=29[/tex]

Answer:

2

Step-by-step explanation:

Rise over run.

The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.

Answer:

The slope is 2.

Step-by-step explanation:

Let me know if you need an explanation.

hope this helps and is right :)

Answer:

28 / 153 or around an 18.3% chance.

Step-by-step explanation:

P (b, b) = (total blue / total socks) × (total blue – 1 / total socks – 1) =

(8 / 18) × (7 / 17) = 56 / 306 = 28 / 153

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

Answer:

Sa Corregidor nanumpa sai Pang. Quezon para sa kanyang ikalawang termino bilang pangulo ng pamahalaang komonwelt

Answer: a) The control in the experiment, 0 kHz, or no sound, serves as a baseline against which to compare the other treatments. By using the control with no sound, researchers can determine whether the deer's response to the sound-emitting devices is due to the sound itself or some other factor. Without the control, it would be unclear what caused any differences in the deer's responses to the different sound treatments.

(b)(i) One advantage to keeping the loudness at a constant 60 decibels for all treatments is that it allows researchers to directly compare the deer's responses to the different sound pitches without the added variable of loudness.

(b)(ii) One disadvantage to keeping the loudness at a constant 60 decibels for all treatments is that loudness may also play a role in deer's response. So, it would be unclear if the different in deer's responses are due to sound frequency only or also caused by sound loudness

(c) Based on the results shown in the bar chart, it can be seen that the deer's response to the sound-emitting devices varies depending on the pitch of the sound. At lower pitches, around 0.28 kHz, the deer's response is more likely to be negative or neutral, indicating that they move away from or don't move towards the highway. At higher pitches, around 15 kHz, the deer's response is more likely to be positive, indicating that they move towards the highway. It suggests that the frequency of sound has an impact on the deer's response. So, based on this data, we cannot recommend using a sound-emitting device to keep deer from running across highways without further research on the optimal frequency and loudness that should be used to make sure that it is effective and safe for the deer.

Step-by-step explanation:

The sound-emitting device may have both advantages and disadvantages depending on the pitch. More research is necessary to find the optimal frequency and volume for the device to be effective and safe.

Based on the results of the experiment, it would not be advisable to use a sound-emitting device to prevent deer from running across highways without further research. The experiment showed that the deer's response varied depending on the pitch of the sound. Although the device showed some advantages, such as moving deer away from the highway at lower pitches, it also presented potential disadvantages. At higher pitches, the deer had a tendency to move towards the highway, which could increase the risk of accidents. More research would be needed to determine the optimal frequency and volume to use for the device to be both effective and safe for the deer.

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Answer:

yes but only because I don't do it often

The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)

Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation

The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.

The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)

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The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

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Answer:

7,630.2

Step-by-step explanation:

Cylinder Area = 2 x π x r x (r + h)

2 x π x 9 x (9 + 30) = 7,630.2

Answer:

7,630.2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

680.25-75.25=605

605÷55=11

Answer:

11

Step-by-step explanation:

Answer:

(2,1)

6928ft

59.0813m

26 1/4m

Step-by-step explanation:

Area of a trapezoid = (a+b)*h/2 so (100+150)*80/2

= 10000

Area of a rectangle = l*w so 48*64

=3072

10000-3072 = 6928

The surface area of a square pyramid is A=a^2+2a√a^2/4+h^2 which is A=4^2+2(4)√(4)^2/4+(5)^2 which = 59.08

Volume of a rectangular prism is l*w*h so 3.5*1.25*6 = 26.25 which is equal to 26 1/4

Answer:

k= 1316/117

Step-by-step explanation:

Answer:

k = 1316/117

Step-by-step explanation:

Solve for kk by simplifying both sides of the equation, then isolating the variable.

Multiply both sides of the equation by 659659.

65/9 x 9k/65 = 65/9 x 1316/845

Simplify both sides of the equation.

Simplify the left side.

k = 65/9 x 1316/845

Simplify the right side.

Now your answer is:

k = 1316/117

9514 1404 393

Answer:

  $3291.60

Step-by-step explanation:

If the loan is amortized in the usual way, the monthly payment is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years

  A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86

The total of payments is ...

  (60 months) × ($304.86/month) = $18,291.60

Then the profit to the bank is ...

  $18,291.60 -15,000 = $3,291.60 . . . bank profit

Answer:

110.88 feet²

Step-by-step explanation:

Area of trapezoids = (base 1 + base 2) × (height ÷ 2)

(15.2 + 11.2) × (8.4 ÷ 2) = 110.88

The area is 110.88 feet²

Answer: d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

Answer:

9

I am not able to upload my answer unless its 20 characters long

Answer:

0.5

Step-by-step explanation:

sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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It is true that If tan k times 90 = 0 then k is an even integer.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.

Here,

Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).

To Use the unit circle

tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)

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Answer:

28 acres

Step-by-step explanation:

If the workers can plant 14 acres in one day then they can double that in two days.

14 × 2 = 28

Have a beautiful day! :)

Answer:

80

Step-by-step explanation:

2400/30=80.

Answer:

another factor is 80

Step-by-step explanation:

2400 ÷ 30

= 80